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sl345
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I'm working on double integrals and am trying to compute the double integral of f(x,y)=x^2 on the region bounded by y=2x^2 and y=4.
I first computed this integral as: double of integral of x^2 dy dx. my y limits were y=4 to y=2x^2. x limits were x=6^1/2 to 6^1/2.
I am having problems computing this integral: double integral of x^2dxdy. My x limit is x=sqrt(2y) to x=0, y limit y=4 to y=2. I multiplied this by 2 since the length of the x is twice that specified by my integration limits. I do not end up with the correct solution (48* sqrt(6) /5). Anyone know what's wrong with my setup?
 10 months ago
 10 months ago
sl345 Group Title
I'm working on double integrals and am trying to compute the double integral of f(x,y)=x^2 on the region bounded by y=2x^2 and y=4. I first computed this integral as: double of integral of x^2 dy dx. my y limits were y=4 to y=2x^2. x limits were x=6^1/2 to 6^1/2. I am having problems computing this integral: double integral of x^2dxdy. My x limit is x=sqrt(2y) to x=0, y limit y=4 to y=2. I multiplied this by 2 since the length of the x is twice that specified by my integration limits. I do not end up with the correct solution (48* sqrt(6) /5). Anyone know what's wrong with my setup?
 10 months ago
 10 months ago

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